Quantum steering in a qubit-field system

TL;DR

This paper investigates quantum steering in a qubit-field system using heterodyne detection, visualizing the set of steerable states with a quantum steering ellipsoid and analyzing its evolution under the Jaynes-Cummings Hamiltonian.

Contribution

It introduces a method to construct and visualize the quantum steering ellipsoid for a qubit coupled to a field with heterodyne detection, including its dynamic evolution.

Findings

Steering set may not always form an ellipsoid with heterodyne detection.

The shape and size of the steering ellipsoid depend on the measurement scheme.

Evolution of the steering ellipsoid is characterized under the Jaynes-Cummings model.

Abstract

Quantum steering in a system consisting of a qubit coupled to a single-mode field is explored when classical-like measurements implemented by heterodyne detection schemes that collapse the state of the field on to a coherent state is considered. The quantum steering ellipsoid of the qubit is constructed to visualize the set of states on to which it can be steered using such measurements. In some cases, the steering set does not form an ellipsoid since only heterodyne detection is considered. Evolution of the steering ellipsoid corresponding to joint evolution of the qubit and field under the Jaynes-Cummins hamiltonian is also studied.